The ideal resolution for generic 3-fat points in \(\mathbb P^2\).

DOI10.1016/j.jpaa.2003.07.002zbMath1042.13009OpenAlexW2099952672MaRDI QIDQ1420632

Monica Idà, Alessandro Gimigliano

Publication date: 2 February 2004

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2003.07.002

zbMATH Keywords

Hilbert functionminimal free resolutionfat pointsminimal set of generators

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Syzygies, resolutions, complexes and commutative rings (13D02) Relevant commutative algebra (14A05)

Related Items (7)

On the Hilbert function of general fat points in \(\mathbb{P}^1\times\mathbb{P}^1\) ⋮ Resolutions of ideals of any six fat points in \(\mathbb{P}^{2}\) ⋮ The role of the cotangent bundle in resolving ideals of fat points in the plane ⋮ On the minimal free resolution for fat point schemes of multiplicity at most 3 in \(\mathbb P ^2\) ⋮ Betti numbers for fat point ideals in the plane: A geometric approach ⋮ The minimal resolutions of double points in \(\mathbb {P}^1 \times \mathbb P^{1}\) with ACM support ⋮ Regina Lectures on Fat Points

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